The warning comes after a series of dog attacks in the municipality.
Infrastructure general manager Andrew Close said since December 2019 there had been 14 separate reports in which people, livestock or other dogs were injured.
“In two of the more serious cases, a dog received a 7 cm gash which required emergency vet care, and some livestock were mauled and sustained life-threatening injuries,” Mr Close said.
“Dog owners are reminded the adequate confinement of dogs requires secure escape-proof fencing, safe visitor access to the front door (of the home) and securely shut gates.
“When owners are walking their dogs, it is also important to ensure the dog is securely tethered to a lead.”
Mr Close said action would be taken in any unprovoked animal attack.
“Council officers can and will, if required, issue fines and infringement notices and can escalate the more serious cases to criminal charges,” he said.
Residents are encouraged to report to the council immediately if they see any wandering dogs or have concerns about inadequately confined dogs by phoning the customer service team on 5871 9222.